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Popular >

expand (n^2+n)^2

Solution

expand

(n^{2} + n)^{2}

Solution

n^{4} + 2 n^{3} + n^{2}

Solution steps

(n^{2} + n)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(n^{2} + n)^{2} = (n^{2})^{2} + 2 n^{2} n + n^{2}

= (n^{2})^{2} + 2 n^{2} n + n^{2}

Simplify

(n^{2})^{2} + 2 n^{2} n + n^{2} : n^{4} + 2 n^{3} + n^{2}

= n^{4} + 2 n^{3} + n^{2}

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Frequently Asked Questions (FAQ)

What is expand (n^2+n)^2 ?
The solution to expand (n^2+n)^2 is n^4+2n^3+n^2